Cremona's table of elliptic curves

9570 = 2 · 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11- 29-	Signs for the Atkin-Lehner involutions
Class	9570r	Isogeny class
Conductor	9570	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	10513916015625000 = 23 · 33 · 516 · 11 · 29	Discriminant
Eigenvalues	2- 3+ 5+  0 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-375626,88315823]	[a1,a2,a3,a4,a6]
j	5861256414022170207649/10513916015625000	j-invariant
L	2.4365950884725	L(r)(E,1)/r!
Ω	0.40609918141208	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	76560bw4 28710n4 47850bl4 105270e4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570r4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	0	-	-2	2	0	4	-	4	2	10	-8	-8	-6	-4	6	4	-12	14	0	8	-6	2

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Quadratic twists for elliptic curve 9570r4

-4	-3	5	-11
76560bw4	28710n4	47850bl4	105270e4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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